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Finding the Fourth Proportional to 5,338.80, 8,048.25 and 4,982

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Solution

The fourth proportional to 5,338.80, 8,048.25 and 4,982 is: 7,510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.80 : 8,048.25 = 4,982 : x
  2. Step 2: Convert to fraction form
    5,338.80/8,048.25 = 4,982/x
  3. Step 3: Cross multiply
    5,338.80x = 8,048.25 × 4,982
  4. Step 4: Simplify right side
    5,338.80x = 40,096,381.50
  5. Step 5: Solve for x
    x = 40,096,381.50/5,338.80
  6. Step 6: Final answer
    x = 7,510.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.